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Finding the Fourth Proportional to 2,163,757.86, 2,984,980.38 and 1,400,057.46

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Solution

The fourth proportional to 2,163,757.86, 2,984,980.38 and 1,400,057.46 is: 1,931,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,757.86 : 2,984,980.38 = 1,400,057.46 : x
  2. Step 2: Convert to fraction form
    2,163,757.86/2,984,980.38 = 1,400,057.46/x
  3. Step 3: Cross multiply
    2,163,757.86x = 2,984,980.38 × 1,400,057.46
  4. Step 4: Simplify right side
    2,163,757.86x = 4,179,144,048,972.64
  5. Step 5: Solve for x
    x = 4,179,144,048,972.64/2,163,757.86
  6. Step 6: Final answer
    x = 1,931,428.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.